A new basin makes sense if you're redoing a bathroom from the studs out, or if the one you've got is cracked, badly stained, or so small that two toothbrushes feel like a crowd. If your current basin works fine and you just don't love the color, think twice. Swapping a basin without touching the counter or the plumbing underneath usually costs more in labor than the basin itself, and I've watched that math surprise people more than once.
If you're starting with nothing, a simple vitreous china basin in a standard drop in or undermount style is the right first move. It's the one that works with almost any counter height, any faucet spread, and any cabinet underneath, and it's forgiving if your bathroom isn't perfectly level or square, which most old houses aren't. Fancier materials and shapes are worth considering once you know what you actually want to live with every morning, not before.
The difference between a basin that lasts and one that disappoints usually comes down to what you can't see. Flip a basin over, if the showroom lets you, and look at the overflow hole and the drain opening. A well made china basin has a smooth, even glaze all the way into those openings, no rough unglazed patches where water can sit and eventually stain or crack the surface. Cheaper ones often skip the glaze right where it matters most. For stone or composite basins, check the underside for a consistent finish rather than a rough, chalky texture, and ask how thick the material is at the rim, thin edges chip. A good basin also sits dead level once installed, if it rocks even slightly on the counter, that's a flat base problem, not a you problem.
Basins live differently depending on the room and the light. In a small guest bath with a narrow window, a lighter colored basin bounces around whatever daylight comes in and makes the whole room feel less like a closet. In a primary bathroom used at six in the morning and again at eleven at night, a deeper basin with a wide shelf around it earns its keep because half of what happens at a sink is setting things down, not just washing your hands. Older houses with pedestal basins and no counter space benefit from a basin with a genuinely useful backsplash shelf, even a narrow one.
The detail that makes a basin a pleasure, honestly, is the overflow slot cut clean and quiet, so water drains without that hollow gurgle you hear through the wall at midnight.